Maybe.
My contents cover on my home insurance will/can be ordered to cover all miss haps. As for going out and about? Yup, I dunno. Not crossed my mind. But again, in my country your home contents insurance can be annexed for that kind of thing.
Insurance claims manager in the US for 29 years here.
Not sure how UK policies are written but generally, yes, the iPad is covered on a homeowners policy.
HOWEVER, for a loss to be covered, it must be as result of a specified peril.
While riders or floaters are available for all risk on some personal items, that ends up costing more in premium in return for said all risk coverage.
Furthermore, items maintained away from the home on a regular basis may be subject to reduced limits.
So, a fire to your home, theft in your home, all covered.
Drop it in the pool, or on the ground and damage it, mysterious disappearance, NOT covered.
Your grandson wrecking it on you (yes, call it crazy but I am a sucker for when that 4 year old asks to use it), not covered on your homeowners.
Lastly and more importantly, in my case as in the case of many, homeowner deductible is quite high. Mine is $1,000 and obviously more than the cost of the iPad. Also, claims may result in increased premium and loss of policy via cancellation. You can avoid all that for $60 a year and only a $50 deductible.